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Stock-based Compensation and Other Stock Plans (Tables)
12 Months Ended
Dec. 30, 2017
Summary of Weighted-Average Assumptions of Fair Value Granted Using Black-Scholes Valuation Model

The following weighted-average assumptions were used in calculating the fair value of stock options granted during 2017, 2016 and 2015, using the Black-Scholes valuation model:

 

     2017      2016      2015  

Expected term of option (in years)

     5.15                5.05                4.76          

Expected volatility factor

         22.01%                22.17%                24.13%      

Expected dividend yield

     1.63%            1.77%            2.04%      

Risk-free interest rate

     1.78%            1.04%            1.38%      
Summary of Stock Option Activity

A summary of stock option activity during 2017 is presented below:

 

     Shares
     (in thousands)     
     Exercise
 Price per 
Share*
     Remaining
   Contractual   
Term*

(in years)
     Aggregate
Intrinsic
Value

(in millions)
 

Outstanding at beginning of year

     3,011                    $   100.78                

Granted

     655                    168.71                

Exercised

     (396)                 86.29                

Forfeited or expired

     (72)                 153.53                
  

 

 

          

Outstanding at end of year

     3,198                  115.30                    6.4              $     188.7          
  

 

 

          

Exercisable at end of year

     1,990                  91.27                    5.1            165.2          
Nonvested Performance Shares [Member]  
Summary of Changes in Non-Vested Performance Awards

Changes to the company’s non-vested performance awards in 2017 are as follows:

 

     Shares
(in thousands)
     Fair Value
Price per
Share*
 

Non-vested performance awards at beginning of year

     207              $   141.94      

Granted

     77            168.70      

Vested

         (114)           144.61      

Cancellations and other

     (38)           159.80      
  

 

 

    

Non-vested performance awards at end of year

     132            149.93      
  

 

 

    

 

*

Weighted-average

Stock-Settled SARs [Member]  
Summary of Weighted-Average Assumptions of Fair Value Granted Using Black-Scholes Valuation Model

The following weighted-average assumptions were used in calculating the fair value of stock-settled SARs granted during 2017, 2016 and 2015, using the Black-Scholes valuation model:

 

              2017             2016      2015  

Expected term of stock-settled SARs (in years)

     3.99               4.03               4.72         

Expected volatility factor

         19.39%            20.09%            23.66%      

Expected dividend yield

     1.46%            1.66%            2.04%      

Risk-free interest rate

     1.55%            1.11%            1.50%      
Summary of Changes in SARs

Changes to the company’s stock-settled SARs in 2017 are as follows:

 

     Stock-settled
SARs

      (in thousands)     
   Exercise
 Price per 
Share*
     Remaining
   Contractual   
Term*

(in years)
     Aggregate
Intrinsic
Value

(in millions)
 

Outstanding at beginning of year

   303    $   125.38                

Granted

   100      168.73                

Exercised

   (13)      103.16                

Forfeited or expired

   (30)      121.53                
  

 

        

Outstanding at end of year

   360      138.63                    7.6              $   12.8          
  

 

        

Exercisable at end of year

   165      119.46                    6.6            9.1          

 

*

Weighted-average

Cash-Settled Stock Appreciation Rights [Member]  
Summary of Weighted-Average Assumptions of Fair Value Granted Using Black-Scholes Valuation Model

The following weighted-average assumptions were used in calculating the fair value of cash-settled SARs granted during 2017, 2016 and 2015, using the Black-Scholes valuation model:

 

              2017             2016      2015  

Expected term of cash-settled SARs (in years)

     3.09               3.11               3.10         

Expected volatility factor

         19.93%                19.53%                18.14%      

Expected dividend yield

     1.59%            1.56%            1.69%      

Risk-free interest rate

     1.98%            1.47%            1.31%      
Summary of Changes in SARs

Changes to the company’s non-vested cash-settled SARs in 2017 are as follows:

 

     Cash-settled
SARs

      (in thousands)     
   Fair Value
 Price per 
Share*
 

Non-vested cash-settled SARs at beginning of year

   7        $       40.83        

Granted

   1      26.36        

Vested

   (3)      46.16        
  

 

  

Non-vested cash-settled SARs at end of year

   5      35.41        
  

 

  

 

*

Weighted-average